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Finding the Fourth Proportional to 13,093.68, 19,633.72 and 6,427.20

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Solution

The fourth proportional to 13,093.68, 19,633.72 and 6,427.20 is: 9,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.68 : 19,633.72 = 6,427.20 : x
  2. Step 2: Convert to fraction form
    13,093.68/19,633.72 = 6,427.20/x
  3. Step 3: Cross multiply
    13,093.68x = 19,633.72 × 6,427.20
  4. Step 4: Simplify right side
    13,093.68x = 126,189,786.28
  5. Step 5: Solve for x
    x = 126,189,786.28/13,093.68
  6. Step 6: Final answer
    x = 9,637.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.